Publications on Generalized Convexity and Monotonicity
“Second-Order Variational Analysis in Optimization, Variational Stability, and Control: Theory, Algorithms, Applications”, by Boris S. Mordukhovich, book series “Springer Series in Operations Research and Financial Engineering”, 789 pp., Hardcover ISBN 978-3-031-53475-1 (published on 22 May 2024), Softcover ISBN 978-3-031-53478-2 (published on 9 July 2024), eBook ISBN 978-3-031-53476-8 (published on 21 May 2024), DOI https://doi.org/10.1007/978-3-031-53476-8.
“Semi-Infinite Fractional Programming”, by Ram U. Verma, book series “Infosys Science Foundation Series in Mathematical Sciences”, 291 pp., Hardcover ISBN 978-981-10-6255-1 (published on 03 November 2017), Softcover ISBN 978-981-13-4841-9 (published on 11 December 2018), eBook ISBN 978-981-10-6256-8 (published on 24 October 2017), DOI https://doi.org/10.1007/978-981-10-6256-8.
Special Issue "Generalized Convexity in Optimization" published in the "Journal of Global Optimization", vol. 64, issue 4, April 2016, edited by Nicolas Hadjisavvas, Alfredo N. Iusem, Boris S. Mordukhovich. Electronic ISSN 1573-2916, Print ISSN 0925-5001, https://link.springer.com/journal/10898/volumes-and-issues/64-4.
“Pseudolinear Functions and Optimization”, by Shashi Kant Mishra and Balendu Bhooshan Upadhyay, 510 pp., eBook ISBN 9780429076336 (published on 15 December 2014), DOI https://doi.org/10.1201/b17898.
“An Easy Path to Convex Analysis and Applications”, by Boris S. Mordukhovich and Nguyen Mau Nam, book series “Synthesis Lectures on Mathematics & Statistics”, 202 pp., Softcover ISBN 978-3-031-01278-5 (published on 23 December 2013), eBook ISBN 978-3-031-02406-1 (published on 31 May 2022), DOI https://doi.org/10.1007/978-3-031-02406-1.
“Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization”, by Qamrul Hasan Ansari, C. S. Lalitha and Monika Mehta, 296 pp., eBook ISBN 9780429065019 (published on 16 July 2013), DOI https://doi.org/10.1201/b15244.
“Calculus Without Derivatives”, by Jean-Paul Penot, book series “Graduate Texts in Mathematics”, vol.266, 524 pp., Hardcover ISBN 978-1-4614-4537-1 (published on 09 November 2012), Softcover ISBN 978-1-4899-8942-0 (published on 13 December 2014), eBook ISBN 978-1-4614-4538-8 (published on 09 November 2012), DOI https://doi.org/10.1007/978-1-4614-4538-8.
“Optimality Conditions in Convex Optimization: A Finite-Dimensional View”, by Anulekha Dhara and Joydeep Dutta, 444 pp., eBook ISBN 9780429065026 (published on 17 November 2011), DOI https://doi.org/10.1201/b11156.
Special Issue "The 10th International Symposium on Generalized Convexity and Monotonicity (GCM10)" published in the "Journal of Global Optimization", vol. 57, issue 3, November 2013, edited by Boris S. Mordukhovich, Nicolae Popovici, Ruey-Lin Sheu. Electronic ISSN 1573-2916, Print ISSN 0925-5001, https://link.springer.com/journal/10898/volumes-and-issues/57-3.
“Generalized Concavity” (new edition), by Mordecai Avriel, Walter E. Diewert, Siegfried Schaible and Israel Zang, book series “SIAM Classics in Applied Mathematics”, vol.63, 329 pp., 2010, ISBN 978-0-89871-896-6, eISBN 978-0-89871-943-7, DOI https://doi.org/10.1137/1.9780898719437.
Special Issue published in the "Taiwanese Journal of Mathematics", vol. 13, issue 2B, 2009, edited by I. Konnov, B. Mordukhovich, M.H. Shih and A. Rubinov. Print ISSN 1027-5487, Online ISSN 2224-6851, https://projecteuclid.org/journals/taiwanese-journal-of-mathematics/volume-13/issue-2B.
“Invexity and Optimization”, by Shashi Kant Mishra and Giorgio Giorgi, book series “Nonconvex Optimization and Its Applications”, vol.88, 266 pp., Hardcover ISBN 978-3-540-78561-3 (published on 23 May 2008), Softcover ISBN 978-3-642-09731-7 (published on 28 October 2010), eBook ISBN 978-3-540-78562-0 (published on 24 April 2008), DOI https://doi.org/10.1007/978-3-540-78562-0.
“Generalized Convexity and Optimization: Theory and Applications”, by Alberto Cambini and Laura Martein, book series “Lecture Notes in Economics and Mathematical Systems”, vol.616, 248 pp., Softcover ISBN 978-3-540-70875-9 (published on 15 October 2008), eBook ISBN 978-3-540-70876-6 (published on 14 October 2008), DOI https://doi.org/10.1007/978-3-540-70876-6.
“Generalized Convexity and Vector Optimization”, by Shashi Kant Mishra, Shou-Yang Wang and Kin Keung Lai, book series “Nonconvex Optimization and Its Applications”, vol.90, 294 pp., Hardcover ISBN 978-3-540-85670-2 (published on 21 December 2008), Softcover ISBN 978-3-642-09930-4 (published on 23 November 2010), eBook ISBN 978-3-540-85671-9 (published on 19 December 2008), DOI https://doi.org/10.1007/978-3-540-85671-9.
“V-Invex Functions and Vector Optimization”, by Shashi Kant Mishra, Shouyang Wang and Kin Keung Lai, book series “Springer Optimization and Its Applications”, vol.14, 164 pp., Hardcover ISBN 978-0-387-75445-1 (published on 17 October 2007), Softcover ISBN 978-1-4419-4528-0 (published on 23 November 2010), eBook ISBN 978-0-387-75446-8 (published on 17 November 2007), DOI https://doi.org/10.1007/978-0-387-75446-8.
"Generalized Convexity and Related Topics", edited by Igor V. Konnov, Dinh The Luc and Alexander M. Rubinov, book series "Lecture Notes in Economics and Mathematical Systems", vol. 583, 469 pp., Springer, softcover ISBN 978-3-540-37006-2 (published on 16 October 2006), eBook ISBN 978-3-540-37007-9 (published on 22 November 2006), DOI https://doi.org/10.1007/978-3-540-37007-9.
“Handbook of Generalized Convexity and Generalized Monotonicity”, edited by Nicolas Hadjisavvas, Sándor Komlósi and Siegfried Schaible, book series “Nonconvex Optimization and Its Applications”, vol.76, 672 pp., Springer, Hardcover ISBN 978-0-387-23255-3 (published on 20 October 2004), Softcover ISBN 978-1-4899-9502-5 (published on 27 November 2014), eBook ISBN 978-0-387-23393-2 (published on 16 January 2006), DOI https://doi.org/10.1007/b101428.
Cambini A., Dass B.K. and L. Martein (Eds.), Generalized Convexity, Generalized Monotonicity, Optimality Conditions and Duality in Scalar and Vector Optimization, 389 pp., ISBN 81-901493-1-8, Taru Publications and Academic Forum, New Delhi, 2003.
The same content can be found also in the special issue on “Generalized Convexity, Generalized Monotonicity, Optimality Conditions and Duality in Scalar and Vector Optimization”, published in the “Journal of Statistics & Management Systems”, edited by Cambini A., Dass B.K. and L. Martein, vol.5, n.1-3, 2002. Print ISSN: 0972-0510 Online ISSN: 2169-0014, https://www.tandfonline.com/toc/tsms20/5/1-3.
“Generalized Convexity, Generalized Monotonicity and Applications”, edited by Andrew Eberhard, Nicolas Hadjisavvas and Dinh The Luc, Proceedings of the “Seventh International Symposium on Generalized Convexity/Monotonicity”, held at the Institute of Mathematics, National Centre for Natural Sciences and Technology, Hanoi (Vietnam), August 27-31, 2002, book series “Nonconvex Optimization and its Applications”, vol. 77, 350 pp., Springer, Hardcover ISBN 978-0-387-23638-4 (published on 19 November 2004), Softcover ISBN 978-1-4419-3647-9 (published on 29 November 2010), eBook ISBN 978-0-387-23639-1 (published on 22 June 2006), DOI https://doi.org/10.1007/b102138.
“Generalized Concavity in Fuzzy Optimization and Decision Analysis”, by Jaroslav Ramík and Milan Vlach, book series “International Series in Operations Research & Management Science”, vol.41, 296 pp., Hardcover ISBN 978-0-7923-7495-4 (published on 30 September 2001), Softcover ISBN 978-1-4613-5577-9 (published on 01 November 2012), eBook ISBN 978-1-4615-1485-5 (published on 06 December 2012), DOI https://doi.org/10.1007/978-1-4615-1485-5.
